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In earlier work we provided the first evidence that the collapse, or coil-globule, transition of an isolated polymer in solution can be seen in a four-dimensional model. Here we investigate, via Monte Carlo simulations, the canonical…

Statistical Mechanics · Physics 2009-10-31 T. Prellberg , A. L. Owczarek

We analyse the conformational behaviour of a linear semiflexible homo-polymer chain confined by two geometrical constraints under a good solvent condition in two dimensions. The constraints are stair shaped impenetrable surfaces. The…

Soft Condensed Matter · Physics 2014-07-14 Pramod Kumar Mishra

In this paper we revisit the problem of a (non self-avoiding) polymer chain in a random medium which was previously investigated by Edwards and Muthukumar (EM). As noticed by Cates and Ball (CB) there is a discrepancy between the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Yadin Y. Goldschmidt

The adsorption of three different polycations at the negatively charged surface of tubular J-aggregates of the amphiphilic cyanine dye 3,3'-bis(2-sulfopropyl)-5,5',6,6'-tetrachloro-1,1'-dioctylbenzimidacarbocyanine (C8S3) is investigated by…

Irreversible adsorption of spheres on flat collectors having dimension $d<2$ is studied. Molecules are adsorbed on Sierpinski's Triangle and Carpet like fractals ($1<d<2$), and on General Cantor Set ($d<1$). Adsorption process is modeled…

Materials Science · Physics 2012-08-02 Michal Ciesla , Jakub Barbasz

We studied polyelectrolyte adsorption on a repulsive charged surface by scaling analysis. At low ionic strength and low surface charge density in which a single polyelectrolyte is able to be adsorbed onto the surface, different regimes in…

Soft Condensed Matter · Physics 2016-08-31 Chi-Ho Cheng , Pik-Yin Lai

It is commonly accepted that in concentrated solutions or melts high-molecular weight polymers display random-walk conformational properties without long-range correlations between subsequent bonds. This absence of memory means, for…

Soft Condensed Matter · Physics 2009-11-11 J. P. Wittmer , P. Beckrich , F. Crevel , C. C. Huang , A. Cavallo , T. Kreer , H. Meyer

Theory is presented for the phase stability of mixtures containing nanospheres and non-adsorbing reversible supramolecular polymers. This was made possible by incorporating the depletion thickness and osmotic pressure of reversible…

Soft Condensed Matter · Physics 2011-06-09 Remco Tuinier

This chapter deals with charged polymers (polyelectrolytes) in solution and at surfaces. The behavior of polyelectrolytes is markedly different from that of neutral polymers. In bulk solutions, i.e. disregarding the surface effect, there…

Soft Condensed Matter · Physics 2009-09-25 Roland R. Netz , David Andelman

We study the equilibrium behaviour of a mixture of monodisperse hard sphere colloids and polydisperse non-adsorbing polymers at their $\theta$-point, using the Asakura-Oosawa model treated within the free-volume approximation. Our focus is…

Soft Condensed Matter · Physics 2007-05-23 Moreno Fasolo , Peter Sollich

Controlling the structure of polymer solutions near a solid surface is crucial for many industrial processes, as it significantly impacts solution flow and influences slip at the interface. To date, only a few techniques have been developed…

The equilibrium partitioning of linear polymer chains into flexible polymer networks is governed by intricate entropic constraints arising from configurational degrees of freedom of both chains and network, yet a quantitative understanding…

Soft Condensed Matter · Physics 2025-05-09 Haruki Takarai , Takashi Yasuda , Naoyuki Sakumichi , Takamasa Sakai

We investigated theoretically water evaporation from concentrated supramolecular mixtures, such as solutions of polymers or amphiphilic molecules, using numerical resolutions of a one dimensional model based on mass transport equations.…

Soft Condensed Matter · Physics 2017-10-25 Jean-Baptiste Salmon , Frédéric Doumenc , Béatrice Guerrier

In detailed microcanonical analyses of densities of states obtained by extensive multicanonical Monte Carlo computer simulations, we investigate the caloric properties of conformational transitions adsorbing polymers experience near…

Statistical Mechanics · Physics 2019-03-27 Monika Möddel , Wolfhard Janke , Michael Bachmann

We analyze from the renormalization group perspective a universality class of reaction-diffusion systems with absorbing states. It describes models where the vacuum state is not accessible, as the set of reactions $2 A \to A$ together with…

Statistical Mechanics · Physics 2007-05-23 Omar Al Hammal , Juan A. Bonachela , Miguel A. Munoz

We study universal aspects of polymer conformations and transverse fluctuations for a single swollen chain characterized by a contour length $L$ and a persistence length $\ell_p$ in two dimensions (2D) and in three dimensions (3D) in the…

Soft Condensed Matter · Physics 2023-06-07 Jacob Bair , Swarnadeep Seth , Aniket Bhattacharya

We consider a model for driven particulate matter in which absorbing states can be reached both by particle isolation and by particle caging. The model predicts a non-equilibrium phase diagram in which analogues of hydrodynamic and elastic…

Soft Condensed Matter · Physics 2020-03-04 Christopher Ness , Michael E. Cates

We study analytically a model of a two dimensional, partially directed, flexible or semiflexible polymer, attached to an attractive wall which is perpendicular to the preferred direction. In addition, the polymer is stretched by an…

Statistical Mechanics · Physics 2015-05-13 Pui-Man Lam , Yi Zhen , Haijun Zhou , Jie Zhou

The universal density-force relation is analyzed and the correspondent universal amplitude ratio $B_{real}$ is obtained using the massive field theory approach in fixed space dimensions d=3 up to one-loop order. The layer monomer density…

Soft Condensed Matter · Physics 2015-05-20 Z. Usatenko

We propose a nonlinear extension of the standard tube model for semidilute solutions of freely-sliding semiflexible polymers. Non-affine filament deformations at the entanglement scale, the renormalisation of direct interactions by thermal…

Soft Condensed Matter · Physics 2008-10-01 Pablo Fernandez , Steffen Grosser , Klaus Kroy
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